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Finding the Fourth Proportional to 565,289.28, 780,090.24 and 310,635

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Solution

The fourth proportional to 565,289.28, 780,090.24 and 310,635 is: 428,671.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,289.28 : 780,090.24 = 310,635 : x
  2. Step 2: Convert to fraction form
    565,289.28/780,090.24 = 310,635/x
  3. Step 3: Cross multiply
    565,289.28x = 780,090.24 × 310,635
  4. Step 4: Simplify right side
    565,289.28x = 242,323,331,702.40
  5. Step 5: Solve for x
    x = 242,323,331,702.40/565,289.28
  6. Step 6: Final answer
    x = 428,671.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.